A study of the diffusion a passive Brownian particle on surface sphere and subject to effects an external potential, coupled linearly probability density particle's position, is presented through numerical algorithm devised simulate trajectories ensemble particles. The based elementary geometry practically only algebraic operations are used, which makes efficient simple, converges, in \textit{w...

In the present article two flocculation models, given in [5] (LG model) and [36] (S are compared. Both models give time evolution dL/dt where L is size of a particle undergoing flocculation, t time. The LG model based on logistic growth theory, whereas S theory originally derived by Smoluchowski. have advantage easy implementation in, for instance, large-scale sediment transport numerical model...

Abstract Fick’s diffusion equation represents physical reality that has been interpreted by Einstein and Smoluchowski. In this way, the question of interpretation is answered in affirmative. It gives rise to a new critical for understanding our world: how broad spectrum could principle give complete account. The answer work based on elegant mathematical foundations formulated three decades befo...

A computational framework is presented for the continuum modeling of cellular biomolecular diffusion influenced by electrostatic driving forces. This framework is developed from a combination of state-of-the-art numerical methods, geometric meshing, and computer visualization tools. In particular, a hybrid of (adaptive) finite element and boundary element methods is adopted to solve the Smoluch...